Hi, I'm the author of the post, thanks for sharing your thoughts!
You're absolutely right we don't know how Lambda works. We have read what we could find that's publicly available, and done a bunch of testing, but Amazon doesn't share all that much about their architecture.
I agree that the cold-start times of Lambda are slow, particularly with languages like Java and with VPCs. My plan at the moment is to write a blog post focused on cold-start times specifically, when I can figure out how to accurately test that around the world.
I'm not entirely sure why API Gateway would add hundreds of ms of latency. We also do authentication processing with our Access product, for example, and it certainly doesn't add anywhere near that. I also don't have any of those API Gateway features enabled to begin with. If you would very much like it, I'm happy to test a Lambda by hitting the Invoke API directly, but I doubt you'll see much of a difference. As the post says, Lambda is granting us a much smaller quantity of CPU time, there's not much you can do to get around that.
I apologize if the transitions between global and region-specific tests are unclear. The majority of the tests are being done from DC, specifically to focus the comparison around execution time, not global latency. I did my best in the post to specify where I was running the test from. If you have an idea of how that can be better expressed please share and I'll do my best to incorporate it in the future.